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Let p be the statement "x is an irrational number", q be the statement "y is a transcendental number", and r be the statement "x is a rational number if y is a transcendental number".
Statement-1 : r is equivalent to either q or p.
Statement-2 : r is equivalent to ~(p ↔ ~q).
p : x is an irrational number q : y is a transcendental number r : x is a rational number iff y is a transcendental number => r : ~ p ↔ q s1 : q or p s2 : ~ (p↔~q)
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